Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; _P(-3,3,1); a=i+j+k %3D NOTE: Enter the exact answer. Duf =

Q: Determine if the following statement is true or false. The points P1(14, 8, 9), P2(7, 4, 0), P3(0, –…

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Q: Find an equation of the plane that is parallel to the plane x + 3y – 8z + 18 = 0 and contains the…

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Q: Exercise To Try 13 Verify that the function f() = 2a2 – 3x + 1 satisfies the hypotheses of the Mean…

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Q: sin t 11) dt (5 + cos t)6 A) (5 + cos 5 + C B) (5 + cos t)5 +C 1 7(5 + cos t)7 D) 5(5 + cos + C

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Q: x2 8. 36 y2 3D1 4 ニ 「て

A: This question can be solved using the concepts of standard equation of hyperbola.

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Q: Find the volume of the parallelepiped determined by the vectors a = (5, 2, – 1), b = (0, 4, 1), č =…

A: We will find the volume of the parallelepiped by using the given vectors.

Q: .2 | f(a)dr 62 , what is 13 Given that f(u)du: answer = Question Help: DVideo Submit Question

A: Explanation of the answer is as follows

Q: dy A9. If xy- cos x = 1, then dx シーsinx ソ+cosx -y+cos x y+sin x (b) (d)

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Q: x2 1. Let f(x) = 3Vx² – 1 and g(x) = x4 81 (a) Determine the domain of f and g. (b) Compute gof and…

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Q: Find the speed over the path r(t) = (sin(3t), cos(6t), cos(3t)) at t = (Use symbolic notation and…

A: The path r(t)=sin(3t),cos(6t),cos(3t) at t=π2

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Q: The föllowing function is differentiable at all x except at: a-1 cod x=2 b=-1 and x=2

A: To solve the following problem

Q: Determine whether the statement is true or false. Justify your answer. 5x +5 Ax +B Cx +D For the…

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Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

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Q: 1 Using u = 1 + 2x6, then the integral | x°(1+ 2x6)5 dx becomes 12 us du- This evaluates as 5+1 1 12…

A: Follow next step

Q: Find a1 and r for a geometric sequence {a, from the given information. 41 az = 123 and a,= 9 a1 r=

A: The given terms of the geometric sequence,a3=123 and a6=-419

Q: For what value of k does the equation kx2 -4x + k = 0 has two equal real roots?

A: Given, kx²-4x+k=0 a=k b=-4 c=k

Q: If measure of a = x+28 and measure of b = 5x-4, determine the value of x.

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Q: Refer to the graph in the textbook. If x screwdrivers produced in thousands, and y represents the…

A: The total cost of producing 20 thousands of screwdrivers is 20,000 dollars

Q: QUESTION 6 Use trial-and-error to determine the smallest integer n for which the given statement is…

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Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v = i+j+ 7k w = i + 8j + 2k %| Find…

A: The volume of the parallelepiped is 253

Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b

Q: ee) Using the Laplace transforms to solve the following equations: y" + 3y' + 2y = e', y (0) = 0, y'…

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Q: ercise To Try 4 (A piecewise function.) Find the area under the graph of f(r) and ve the x-aris…

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Q: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

A: Given query is to find the parametric and symmetric equation.

Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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Q: Thìnking. Inquiry. Problem Solving.[11] (3] 13. Find the equation of the following graph. Give your…

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Q: In a certain environment, a colony of bacteria grows according to the model A = A0e^0.06t, where A…

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and - 10x – 5y – 5z – 11 = 0. - NOTE:…

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Q: Let i = (6, – 6, 1) and v = (– 5, 5, – 6). %3D Compute the following: i · i = i. i = - 6(ü - i) = (–…

A: To evaluate the given dot product of vectors u and v.

Q: Evaluate the sum. 7 3 ) Σ 2-3 k = 1

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Q: The dimensions ofavectangubr region are varging with the bimeltyacCording W-zt+6cm/see where Listhe…

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Q: ences have the following generating

A: We have to choose the correct options from the given options according to the given information

Q: Graph the solution set of the system of inequalities. + y?s9 X22 y20 y 10 1아 1아 1아 -10 -5 10 -10 -5…

A: This question can be solved by applying the concepts of drawing the graphs of inequations.

Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…

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Q: 4. Find the inverse, domain and range of the function f (x) = x +3

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Q: Qz IF A-(-2 4) B=(% 4) 2 3 -2 4 Prove! CA *B)*C A*(BaC)

A: Here, the given matrices are: A=-24, B=5104, C=23-1-241

Q: dx 5 x + 2y 2 dt dy 3 ーX 4 – 2y dt

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Q: You will create an estimate in order to assist your boss in gaining the job! The equation that is…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a question. This question…

Q: Find parametric equations of the line through (–3, 0, 3) that is parallel to 5i – 8j+ k. x(t) y(t)…

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Q: 2х + 3 dx x² + 3x

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Q: The graph at right shows a function g(x) a) Where is the function decreasing? b) Where are the local…

A: Given query is to find intererval where function is decreasing and local minimum location.

Q: Ans: y' + y2 - y = 0 ae* 5. y= 1+ae*

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Q: 6. Differentiate y with respect to x using A-method. x-3 a. y = X b. у %3D V4x + 3

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Q: 10. Maximize f(x, y) = 25 – ² - y² subject to 2x + y = 10

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Q: Let g be a function that is defined for all x, x# 2, such that g(3)% = 4 and the derivative of g is…

A: Solved below

Q: 05 1 15 2 25 3 3.5 1.5 0.5 -0.5 -1 -1.5 -2 Identify the equation of the surface. Oæ = y? O r = 2 y =…

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Q: The angle between (0, –6, 2) and (4, 8, 7) is: O A. orthogonal - O B. acute.

A: We will use geometric definition to determine the angle.

Q: Area inside the circle r = 3 cos 0 and outside the cardiod r = 1+ cos 0

A: The region which is inside the circle r=3 cos θ and outside the cardioid r=1+cos θ is: